|
Title: Approximate analytic paraboloid dilation
Authors:
P.W. Verbeek, L.J. van
Vliet
in: G. Borgefors (eds.), SCIA'95, Proc. 9th Scandinavian Conf. on Image
Analysis, Volume 1 (Uppsala, S, June 6-9), 1995, 95-102.
Abstract
In grey image morphology the dilation by an isotropic paraboloid has
simple scaling properties. To find the contact between grey landscape (umbra)
and paraboloid a local minimum or maximum must be determined for each point
in the image. We propose to approximate the grey image by a local second
order Taylor expansion before dilating. Then the contact can be calculated
without a maximum search and the dilated grey value can be expressed in
local derivatives: approximate analytic dilation.In a simplified version
the method is applied to the 1D cross section along the local gradient
direction.
No postscript file available.
Return to the homepage
of Lucas J. van Vliet
| 